Propanoic acid is a monoprotic weak acid. This means that at equilibrium, the reaction equation would be:
HA <---> H+ + A-
HA = propanoic acid
A- = conjugate base
H+ = hydronium ions
We can get the value of H+ from the given pH which is 3.25.
pH = -log [H+]
3.25 = -log [H+]
[H+] = 10^(-3.25)
[H+] = 5.6234x10^-4
Next, we draw the ICE table.
HA <---> H+ + A-
I M 0 0
C -x +x +x
E M-x x x
We can see that
x = [H+] = [A-] = 5.6234x10^-4 = 5.62x10^-4
M would be the initial concentration of the acid HA. To solve for that value, we will use the equilibrium expression.
ka = [H+][A-]/ M-X
ka = [x][x]/M-x
ka = 10^(-pka) = [x][x]/M-x
**remember that pka is given in the problem.
10^(-4.874) = (5.6234x10^-4)^2/ M-5.6234x10^-4
by algebra, M = 0.02422 = 0.024
% ionization = X/M *100
% ionization = (5.6234x10^-4/0.02422) x100
% ionization = 2.32%
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